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http://dx.doi.org/10.4134/CKMS.2002.17.1.071

ON THE LARGE DEVIATION PROPERTY OF RANDOM MEASURES ON THE d-DIMENSIONAL EUCLIDEAN SPACE  

Hwang, Dae-Sik (Department of Mathematics, Faculty Board, Air Force Academy)
Publication Information
Communications of the Korean Mathematical Society / v.17, no.1, 2002 , pp. 71-80 More about this Journal
Abstract
We give a formulation of the large deviation property for rescalings of random measures on the d-dimensional Euclidean space R$^{d}$ . The approach is global in the sense that the objects are Radon measures on R$^{d}$ and the dual objects are the continuous functions with compact support. This is applied to the cluster random measures with Poisson centers, a large class of random measures that includes the Poisson processes.
Keywords
large deviation property; random measure; Poisson point process; Poisson center cluster random measure;
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Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 /
[ A. F. Karr ] / Point processes and theory statistical
2 On the rate function of convergence in large deviation probability /
[ D. Hwang ] / Bull. Korean Math. Soc.   과학기술학회마을
3 Large deviations for some weakly dependent random process /
[ R. M. Burton;H. Dehling ] / Statist. Probab. Lett.   DOI   ScienceOn
4 /
[ R. S. Ellis ] / large deviations and statistical mechanics
5 /
[ O. Kallenberg ] / Random measures
6 On large deviations from the invariant measure /
[ J. Gartner ] / Theory Probab. Appl.   DOI
7 large deviations for a general class of dependent random vectors /
[] / Ann. Prob.   DOI   ScienceOn
8 Large deviations from the Mackean-Vlasov limit for weakly interacting diffusions /
[ D. A. Dawson;J. Gartner ] / Stochastics   DOI   ScienceOn
9 /
[ J. D. Deuschel;D. W. Stroock ] / Large deviations
10 Large deviation principles for random measures /
[] / Ph. D. thesis, OSU
11 /
[ A. Dembo;O. Zeitouni ] / Large deviations techniques and applications